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Finding the Fourth Proportional to 6,710.24, 10,066.16 and 3,245

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Solution

The fourth proportional to 6,710.24, 10,066.16 and 3,245 is: 4,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.24 : 10,066.16 = 3,245 : x
  2. Step 2: Convert to fraction form
    6,710.24/10,066.16 = 3,245/x
  3. Step 3: Cross multiply
    6,710.24x = 10,066.16 × 3,245
  4. Step 4: Simplify right side
    6,710.24x = 32,664,689.20
  5. Step 5: Solve for x
    x = 32,664,689.20/6,710.24
  6. Step 6: Final answer
    x = 4,867.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.